Model Verification of Mixed Dynamic Systems

Abstract

A general method is presented for using experimental data to verify math models of “mixed” dynamic systems. The term “mixed” is used to suggest applicability to combined systems which may include interactive mechanical, hydraulic, electrical, and conceivably other types of components. Automatic matrix generating procedures are employed to facilitate the modeling of passive networks (e.g., hydraulic, electrical). These procedures are augmented by direct matrix input which can be used to complement the network model. The problem of model verification is treated in two parts; verification of the basic configuration of the model and determination of the parameter values associated with that configuration are addressed sequentially. Statistical parameter estimation is employed to identify selected parameter values, recognizing varying degrees of uncertainty with regard to both experimental data and analytical results. An example problem, involving a coupled hydraulic-mechanical system, is included to demonstrate application of the method.

Modeling the Dynamic Response of Slabs to Overpressure.

“…Thus , the equation of motion can be written as + 6 e~' +ak (y) = ap ( t ) (2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13) or , (di v i d i n g through by a)…”

“…However , as more dynamic data were a n a l yz ed , it became clear that the most physically si gnificant results would come from as simple a model as possible . For this reason , equation (2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14)(15) was ev e n t u a l l y used in a t t e mp t i n g to f i t the d y na m ic d a t a .…”